{"id":"https://openalex.org/W4384696501","doi":"https://doi.org/10.1137/22m1502380","title":"Preconditioned Infinite GMRES for Parameterized Linear Systems","display_name":"Preconditioned Infinite GMRES for Parameterized Linear Systems","publication_year":2023,"publication_date":"2023-07-18","ids":{"openalex":"https://openalex.org/W4384696501","doi":"https://doi.org/10.1137/22m1502380"},"language":"en","primary_location":{"id":"doi:10.1137/22m1502380","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1502380","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/22m1502380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056206778","display_name":"Siobh\u00e1n Correnty","orcid":"https://orcid.org/0000-0002-1488-9379"},"institutions":[{"id":"https://openalex.org/I4210103991","display_name":"Swedish e-Science Research Centre","ror":"https://ror.org/01e59yk92","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210103991"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Siobh\u00e1n Correnty","raw_affiliation_strings":["Department of Mathematics, Royal Institute of Technology (KTH), SeRC Swedish e-Science Research Center, Lindstedtsv\u00e4gen 25, Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-1488-9379","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Royal Institute of Technology (KTH), SeRC Swedish e-Science Research Center, Lindstedtsv\u00e4gen 25, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016","https://openalex.org/I4210103991"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075035467","display_name":"Elias Jarlebring","orcid":"https://orcid.org/0000-0001-9443-8772"},"institutions":[{"id":"https://openalex.org/I4210103991","display_name":"Swedish e-Science Research Centre","ror":"https://ror.org/01e59yk92","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210103991"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Elias Jarlebring","raw_affiliation_strings":["Department of Mathematics, Royal Institute of Technology (KTH), SeRC Swedish e-Science Research Center, Lindstedtsv\u00e4gen 25, Stockholm, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-9443-8772","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Royal Institute of Technology (KTH), SeRC Swedish e-Science Research Center, Lindstedtsv\u00e4gen 25, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016","https://openalex.org/I4210103991"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071268820","display_name":"Kirk M. Soodhalter","orcid":"https://orcid.org/0000-0003-0612-1199"},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Kirk M. Soodhalter","raw_affiliation_strings":["School of Mathematics, Trinity College Dublin, The University of Dublin, College Green, Dublin 2, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Trinity College Dublin, The University of Dublin, College Green, Dublin 2, Ireland","institution_ids":["https://openalex.org/I205274468"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056206778"],"corresponding_institution_ids":["https://openalex.org/I4210103991","https://openalex.org/I86987016"],"apc_list":null,"apc_paid":{"value":2899,"currency":"EUR","value_usd":3126},"fwci":0.9699,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79039432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"46","issue":"2","first_page":"S120","last_page":"S141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.8610365390777588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.796743631362915},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.795119047164917},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.7342434525489807},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6911945343017578},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6002975106239319},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5910108685493469},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5333210229873657},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49466654658317566},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.4872121214866638},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.36796268820762634},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32781434059143066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1823740303516388},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10117131471633911}],"concepts":[{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.8610365390777588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.796743631362915},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.795119047164917},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7342434525489807},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6911945343017578},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6002975106239319},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5910108685493469},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5333210229873657},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49466654658317566},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4872121214866638},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.36796268820762634},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32781434059143066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1823740303516388},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10117131471633911},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1502380","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1502380","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:kth-344990","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-344990","pdf_url":"https://kth.diva-portal.org/smash/get/diva2:1849038/FULLTEXT01","source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"doi:10.1137/22m1502380","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1502380","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W14303464","https://openalex.org/W1501384927","https://openalex.org/W1506119886","https://openalex.org/W1595822959","https://openalex.org/W1600807641","https://openalex.org/W1981452262","https://openalex.org/W1984840642","https://openalex.org/W1993483669","https://openalex.org/W1999834714","https://openalex.org/W2010916347","https://openalex.org/W2013321956","https://openalex.org/W2013917460","https://openalex.org/W2032576830","https://openalex.org/W2041876368","https://openalex.org/W2046160677","https://openalex.org/W2051133095","https://openalex.org/W2063156073","https://openalex.org/W2069595221","https://openalex.org/W2071700284","https://openalex.org/W2078578549","https://openalex.org/W2079461498","https://openalex.org/W2083232784","https://openalex.org/W2083715026","https://openalex.org/W2088087394","https://openalex.org/W2092560650","https://openalex.org/W2095572167","https://openalex.org/W2109728563","https://openalex.org/W2113830538","https://openalex.org/W2128836543","https://openalex.org/W2130641059","https://openalex.org/W2130860589","https://openalex.org/W2136343891","https://openalex.org/W2139875628","https://openalex.org/W2140153041","https://openalex.org/W2142094322","https://openalex.org/W2151478420","https://openalex.org/W2153179908","https://openalex.org/W2155216327","https://openalex.org/W2168203579","https://openalex.org/W2195673693","https://openalex.org/W2525143841","https://openalex.org/W2963266001","https://openalex.org/W3006275387","https://openalex.org/W3127372060"],"related_works":["https://openalex.org/W3157581606","https://openalex.org/W2113830538","https://openalex.org/W2385105452","https://openalex.org/W2091702533","https://openalex.org/W2034237012","https://openalex.org/W4327753697","https://openalex.org/W2118830201","https://openalex.org/W2137797529","https://openalex.org/W2109920203","https://openalex.org/W4320490673"],"abstract_inverted_index":{"We":[0,145],"are":[1,211],"interested":[2],"in":[3,46,74,127,200],"obtaining":[4],"solutions":[5],"to":[6,42,71,140],"parameterized":[7,188],"linear":[8],"systems":[9],"of":[10,19,98,125,150,159,165,171,182,194],"the":[11,20,40,62,72,75,96,106,148,157,160,163,166,169,172,192,201,209],"form":[12],"A(mu)x(mu)":[13],"=":[14],"b":[15],"for":[16,142],"many":[17],"values":[18],"parameter":[21,161],"mu.":[22,36,144],"Here":[23],"A(mu)":[24],"is":[25,64,138,153,203],"large,":[26],"sparse,":[27],"and":[28,83,111,168,207],"nonsingular":[29],"with":[30,186],"a":[31,43,47,67,99,123,132,178,183,187],"nonlinear,":[32],"analytic":[33],"dependence":[34],"on":[35,66,156],"Our":[37],"approach":[38,94],"approximates":[39],"solution":[41],"linearized":[44],"system":[45],"flexible":[48],"GMRES":[49,109],"setting":[50],"[Y.":[51],"Saad,":[52],"SIAM":[53,113],"J.":[54,114],"Sci.":[55],"Comput.,":[56],"14":[57],"(1993),":[58],"pp.":[59,90,120],"461-469],":[60],"where":[61],"linearization":[63],"based":[65,155],"companion":[68,173],"matrix":[69],"similar":[70],"operator":[73],"infinite":[76,108],"Arnoldi":[77],"method":[78,107,130,152],"[E.":[79],"Jarlebring,":[80],"W.":[81],"Michiels,":[82],"K.":[84],"Meerbergen,":[85],"Numer.":[86],"Math.,":[87],"122":[88],"(2012),":[89],"169-195].":[91],"This":[92],"novel":[93],"applies":[95],"action":[97],"preconditioner":[100],"inexactly,":[101],"providing":[102],"performance":[103],"improvement":[104],"over":[105,135],"[Jarlebring":[110],"Correnty,":[112],"Matrix":[115],"Anal.":[116],"Appl.,":[117],"43":[118],"(2022),":[119],"1382-1405]":[121],"without":[122],"loss":[124],"accuracy":[126],"general.":[128],"The":[129,197],"returns":[131],"function":[133],"(x)":[134],"tilde(mu)":[136],"which":[137],"cheap":[139],"evaluate":[141],"different":[143],"show":[146],"that":[147],"error":[149],"our":[151,195],"estimated":[154],"magnitude":[158],"mu,":[162],"inexactness":[164],"preconditioning,":[167],"spectrum":[170],"matrix.":[174],"Numerical":[175],"examples":[176],"from":[177],"finite":[179],"element":[180],"discretization":[181],"Helmholtz":[184],"equation":[185],"material":[189],"coefficient":[190],"illustrate":[191],"competitiveness":[193],"approach.":[196],"software":[198],"used":[199],"simulations":[202],"publicly":[204],"available":[205],"online,":[206],"all":[208],"experiments":[210],"reproducible.":[212]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
